Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information

We investigate the two-dimensional motion of relativistic cold electrons in the presence of ‘strictly’ spatially varying magnetic fields satisfying, however, no magnetic monopole condition. We find that the degeneracy of Landau levels, which arises in the case of the constant magnetic field, lifts o...

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Autor principal:	Srishty Aggarwal, Banibrata Mukhopadhyay, Gianluca Gregori
Formato:	article
Lenguaje:	EN
Publicado:	SciPost 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/487eb8f19cb54bcbbe0a31b63b76e89f
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spelling	oai:doaj.org-article:487eb8f19cb54bcbbe0a31b63b76e89f2021-11-18T15:06:39ZRelativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information2542-465310.21468/SciPostPhys.11.5.093https://doaj.org/article/487eb8f19cb54bcbbe0a31b63b76e89f2021-11-01T00:00:00Zhttps://scipost.org/SciPostPhys.11.5.093https://doaj.org/toc/2542-4653We investigate the two-dimensional motion of relativistic cold electrons in the presence of ‘strictly’ spatially varying magnetic fields satisfying, however, no magnetic monopole condition. We find that the degeneracy of Landau levels, which arises in the case of the constant magnetic field, lifts out when the field is variable and the energy levels of spin-up and spin-down electrons align in an interesting way depending on the nature of change of field. Also the varying magnetic field splits Landau levels of electrons with zero angular momentum from positive angular momentum, unlike the constant field which only can split the levels between positive and negative angular momenta. Exploring Landau quantization in non-uniform magnetic fields is a unique venture on its own and has interdisciplinary implications in the fields ranging from condensed matter to astrophysics to quantum information. As examples, we show magnetized white dwarfs, with varying magnetic fields, involved simultaneously with Lorentz force and Landau quantization affecting the underlying degenerate electron gas, exhibiting a significant violation of the Chandrasekhar mass-limit; and an increase in quantum speed of electrons in the presence of a spatially growing magnetic field.Srishty Aggarwal, Banibrata Mukhopadhyay, Gianluca GregoriSciPostarticlePhysicsQC1-999ENSciPost Physics, Vol 11, Iss 5, p 093 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Srishty Aggarwal, Banibrata Mukhopadhyay, Gianluca Gregori Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
description	We investigate the two-dimensional motion of relativistic cold electrons in the presence of ‘strictly’ spatially varying magnetic fields satisfying, however, no magnetic monopole condition. We find that the degeneracy of Landau levels, which arises in the case of the constant magnetic field, lifts out when the field is variable and the energy levels of spin-up and spin-down electrons align in an interesting way depending on the nature of change of field. Also the varying magnetic field splits Landau levels of electrons with zero angular momentum from positive angular momentum, unlike the constant field which only can split the levels between positive and negative angular momenta. Exploring Landau quantization in non-uniform magnetic fields is a unique venture on its own and has interdisciplinary implications in the fields ranging from condensed matter to astrophysics to quantum information. As examples, we show magnetized white dwarfs, with varying magnetic fields, involved simultaneously with Lorentz force and Landau quantization affecting the underlying degenerate electron gas, exhibiting a significant violation of the Chandrasekhar mass-limit; and an increase in quantum speed of electrons in the presence of a spatially growing magnetic field.
format	article
author	Srishty Aggarwal, Banibrata Mukhopadhyay, Gianluca Gregori
author_facet	Srishty Aggarwal, Banibrata Mukhopadhyay, Gianluca Gregori
author_sort	Srishty Aggarwal, Banibrata Mukhopadhyay, Gianluca Gregori
title	Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
title_short	Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
title_full	Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
title_fullStr	Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
title_full_unstemmed	Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
title_sort	relativistic landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information
publisher	SciPost
publishDate	2021
url	https://doaj.org/article/487eb8f19cb54bcbbe0a31b63b76e89f
work_keys_str_mv	AT srishtyaggarwalbanibratamukhopadhyaygianlucagregori relativisticlandauquantizationinnonuniformmagneticfieldanditsapplicationstowhitedwarfsandquantuminformation
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Relativistic Landau quantization in non-uniform magnetic field and its applications to white dwarfs and quantum information

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